Finding the Third Proportional to 81.63 and 188.89

Step by Step Solution

1. Step 1: Write the proportion equation
   81.63 : 188.89 = 188.89 : x
2. Step 2: Convert to fraction form
   81.63/188.89 = 188.89/x
3. Step 3: Cross multiply
   81.63x = 188.89 × 188.89
4. Step 4: Simplify right side
   81.63x = 35,681.14
5. Step 5: Solve for x
   x = 35,681.14/81.63
6. Step 6: Final answer
   x = 437.09